Location of zeros of polynomials in the unit disc: problems and challenges
A study on the comparison of classic results on the location of zeros of polynomia...
A free boundary problem in potential theory and singularity distribution of soluti...
| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Estadual Paulista, Dept Matemat & Comp, Fac Ciencias & Tecnol, Presidente Prudente, SP - Brazil
Total Affiliations: 1
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| Document type: | Journal article |
| Source: | ACTA MATHEMATICA HUNGARICA; v. 143, n. 1, p. 81-87, JUN 2014. |
| Web of Science Citations: | 2 |
| Abstract | |
We give necessary and sufficient conditions for all zeros of the palindromic polynomial R(z)=1+lambda(z+z (2)+aEuro broken vertical bar+z (n-1))+z (n) , , to be on the unit circle and we find for which S(z)=R(z)+gamma z (n) , n natural, has all its zeros in the closed unit disc. (AU) | |
| FAPESP's process: | 13/08012-8 - Location of zeros of polynomials in the unit disc: problems and challenges |
| Grantee: | Vanessa Avansini Botta Pirani |
| Support type: | Regular Research Grants |